virtus
find the equation of the locus of a point that moves so that its distance from the line 3x4y+9=0 is always 5



This Question is Closed

ganeshie8
Best Response
You've already chosen the best response.
2
let that point be P (x, y)

ganeshie8
Best Response
You've already chosen the best response.
2
distance from a point to a line = \(\frac{Ax+By+C}{\sqrt{A^2 + B^2}}\)

ganeshie8
Best Response
You've already chosen the best response.
2
can you put the equation for distance ?
from point P(x, y) to line 3x4y+9=0

virtus
Best Response
You've already chosen the best response.
1
oh so it would be (3x4y+9)/square root( 3^2 +(4)^2)

virtus
Best Response
You've already chosen the best response.
1
(3x 4y+9)/5 =5
3x 4y+9 =25
3x4y 16 =0

virtus
Best Response
You've already chosen the best response.
1
is that right ganeshi8?

virtus
Best Response
You've already chosen the best response.
1
btw i thought there was an ABSOLUTE SIGN around Ax + By + C for the formula

ganeshie8
Best Response
You've already chosen the best response.
2
yep! u r right.. we must get two lines

ganeshie8
Best Response
You've already chosen the best response.
2
(3x 4y+9)/5 =5

ganeshie8
Best Response
You've already chosen the best response.
2
3x4y+9 = 25, and, 3x4y + 9 = 25

virtus
Best Response
You've already chosen the best response.
1
ngawww i get it !

ganeshie8
Best Response
You've already chosen the best response.
2
it tricked me.... i was thinking there should be two lines at the very end.
nice catch :)

virtus
Best Response
You've already chosen the best response.
1
thanks again  LOL and about writing GAPS yesterday, it wasn't meant to be rude or anything, just expressing my gratitude for your help ;)

ganeshie8
Best Response
You've already chosen the best response.
2
lol fine i get it nw :))

ganeshie8
Best Response
You've already chosen the best response.
2
dw:1341791339629:dw

ganeshie8
Best Response
You've already chosen the best response.
2
two lines we just got... which are at a distance of 5 from the given line...
they look as above